LORENZ MAJORIZATION AND PIGOU—DALTON TRANSFERS IN THE RAMSEY—BEWLEY MODEL

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  • Authors: Parastaev G.S1,2, Shananin A.A3,4,5,6,7
  • Affiliations:
    1. Lomonosov Moscow State University
    2. Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences
    3. Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
    4. Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University
    5. Moscow Institute of Physics and Technology (National Research University)
    6. Peoples’ Friendship University of Russia (RUDN University)
    7. Federal State Budgetary Institution “All-Russian Research Institute of Labor” of the Ministry of Labor of the Russian Federation
  • Issue: Vol 65, No 10 (2025)
  • Pages: 1608-1624
  • Section: Optimal control
  • URL: https://rjmseer.com/0044-4669/article/view/695944
  • DOI: https://doi.org/10.31857/S0044466925100012
  • ID: 695944

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Abstract

In this paper, a model of the evolution of the Lorenz curve, describing the distribution of income between economic agents, is proposed. It is proved that the evolution of income distribution is consistent with Lorenz majorization in the Ramsey—Bewley model. A Pigou—Dalton transfer (tax and subsidy) system, which generates a stationary income distribution chosen by the welfare state, is constructed. Numerical calculations allow us to formulate a conjecture about the stability of the Lorenz curve corresponding to the selected income distribution.

About the authors

G. S Parastaev

Lomonosov Moscow State University; Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences

Email: parastaev1996@yandex.ru
Moscow, Russia; Moscow, Russia

A. A Shananin

Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University; Moscow Institute of Physics and Technology (National Research University); Peoples’ Friendship University of Russia (RUDN University); Federal State Budgetary Institution “All-Russian Research Institute of Labor” of the Ministry of Labor of the Russian Federation

Email: alexshan@yandex.ru
Moscow, Russia; Moscow, Russia; Dolgoprudny, Russia; Moscow, Russia; Moscow, Russia

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